Welcome to the site. The first thing to do is check out the sticky threads at the top of the electrical section, the ones on The Best Light Fixture Ever and Light Fixture Layout Collection. There's a lot of useful information there, and you may find some layouts that can be adapted to your situation.
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Since I’ve spent a fair amount of time doing Light Fixture Layouts for GJ members, I figured I'd put them all in one thread as a general reference guide. I’ll start with the latest and add more as time permits. All Isoplots in footcandles and done at 30" workplane height (30" from the floor)...
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Note that those discussions have been updated over time, so after looking at the initial information it may be better to jump to the end to get the latest recommendations.
Another thing you can try is many of the light manufacturers have a feature on their website where you can plug in your dimensions along with how much light you want and a specific light fixture, and it generate a suggested light layout to meet your needs. For an L shaped space like yours it may be easier to break it up into two spaces.